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Finding the Fourth Proportional to 330.12, 494.81 and 214.62

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Solution

The fourth proportional to 330.12, 494.81 and 214.62 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 494.81 = 214.62 : x
  2. Step 2: Convert to fraction form
    330.12/494.81 = 214.62/x
  3. Step 3: Cross multiply
    330.12x = 494.81 × 214.62
  4. Step 4: Simplify right side
    330.12x = 106,195.05
  5. Step 5: Solve for x
    x = 106,195.05/330.12
  6. Step 6: Final answer
    x = 321.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.